Answer:
y = 300
Step-by-step explanation:
The equation of variation in which y varies directly as x is written Mathematically as:
y ∝ x
y = k × x
y = kx
Where k = Proportionality Constant
We find k
a) y = 60 when x = 0.4.
60 = 0.4 × k
k = 60/0.4
k = 150
b) find the value of y when x = 2
y = kx
k = 150
Hence,
y = 150 × 2
y = 300
(i) I used distributive property to get the x’s and y’s out of parentheses. I then combined like-terms to simplify until I could do no more. That is your final answer for (i) is -3x - 12y
(ii) This one is similar to the first one, just with no parentheses. I combined like terms again until not like terms were left. Your final answer for (ii) is -3k -2 -2n
(iii) I started by dividing 15 by 3 and got 5, and because the 15 had an x to it, you get 5x. I then moved onto the next term, 9. 9 divided by 3, to get 3. Your final answer for (iii) is 5x + 3
A horse can run 1 3/8 of a mile in 1 3/5 minute. How long does it take the horse to run 1 mile?
So what i would personally do first is convert the fractions into decimals.
1 3/8= 11/8= 1.375 of a mile
1 3/5= 8/5 =1.6 of a minute
Now we find the rate of change
I
6x + 52 > 130
Subtract 52 from both sides:
6x > 78
Divide both sides by 6:
X > 78/6
X > 13
5000 rounded to the nearest hundredth is 5000
